Brief The analysis of optimization based controllers

Authors:
James A. Primbs
Affiliations:
Control and Dynamical Systems 107-81, California Institute of Technology, Pasadena, CA 91125, USA
Venue:
Automatica (Journal of IFAC)
Year:
2001

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Abstract

Many control techniques employ on-line optimization in the determination of a control policy. We develop a framework which provides sufficient convex conditions, in the form of linear matrix inequalities, for the analysis of constrained quadratic based optimization schemes. These results encompass standard robustness analysis problems for a wide variety of receding horizon control schemes, including those with polytopic and structured uncertainty. A simple example illustrates the methodology.